The Earthly Ellipse!

A Particle is thrown from Earth, at a velocity \(\displaystyle u\) and an angle \(\displaystyle \theta\) to the horizontal.

Find the Semi-major axis of the elliptical path of the particle (in Km)

Details and Assumptions:
\(\bullet G = 6.6\times 10^{-11}\)
\(\bullet M_{Earth} = 6\times 10^{24}Kg\)
\(\bullet R_{Earth} = 6000Km\)
\(\bullet u = 10m/s\)
\(\bullet \theta = 50^o\)


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